Converting 1 1/2 x 35 to a Fraction
When we multiply 1 1/2 by 35, we need to follow the order of operations (PEMDAS) to ensure accuracy. Since 1 1/2 is a mixed number, we'll first convert it to an improper fraction.
Converting the Mixed Number to an Improper Fraction
1 1/2 can be written as an improper fraction by multiplying the whole number part (1) by the denominator (2), then adding the numerator (1):
1 × 2 + 1 = 3
So, 1 1/2 is equal to the improper fraction 3/2.
Multiplying 3/2 by 35
Now, let's multiply 3/2 by 35:
(3/2) × 35 = (3 × 35) / 2
(105) / 2 = 52 1/2
Therefore, 1 1/2 x 35 is equal to 52 1/2, which can also be written as an improper fraction:
52 1/2 = 105/2
And that's the final answer!